Published 2010

Topics
recitations, differentiation of functions, integration of functions, limits, continuity, differentiation rules, extremum problems, definite integration, indefinite integration, fundamental theorem of calculus, techniques of integration, approximation of definite integrals, improper integrals, l'HÃ´pital's rule

Instructors: Christine Breiner, David Jordan, Joel Lewis

This calculus course covers differentiation and integration of functions of one variable, and concludes with a brief discussion of infinite series. Calculus is fundamental to many scientific disciplines including physics, engineering, and economics.

View the complete course: http://ocw.mit.edu/18-01SCF10

This calculus course covers differentiation and integration of functions of one variable, and concludes with a brief discussion of infinite series. Calculus is fundamental to many scientific disciplines including physics, engineering, and economics.

View the complete course: http://ocw.mit.edu/18-01SCF10

Producer MIT OpenCourseWare

Audio/Visual sound, color

Language English

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MPEG4
BACK

15.5M

Constant Multiple Rule
15.6M

Product Rule
9.6M

Quotient Rule
17.0M

Chain Rule
18.2M

Implicit Differentiation
20.9M

Arccos
20.1M

Rules of Logs
15.8M

Quadratic Approximation
27.0M

Sketching a curve
21.5M

Minimum Triangle Area
19.0M

Maximum Surface Area
17.2M

Related rates 1
38.4M

Related rates 2
16.9M

Using Newton's Method
13.3M

Mean Value Theorem
7.4M

Mean value theorem
16.4M

Riemann sum
16.1M

Average Velocity
24.7M

Trig Integral Practice
35.6M

Hyperbolic Trig Sub
15.4M

Arc Length of y=x^(2/3)
45.9M

Surface Area of a Torus
19.4M

Parametric Arclength
19.0M

Polar to Cartesian
30.8M

Integration Practice I
32.4M

Integration Practice II
27.4M

Integration Practice III
39.5M

Integration Practice IV
23.4M

l'Hospital Practice
25.5M

Indeterminate forms
43.1M

Improper Integrals
23.4M

Integral of x^n e^(-x)
10.9M

Limit of a Series
33.1M

Comparison Tests
17.1M

Integral Test
21.9M

Power Series Practice
22.2M

Finding Taylor's Series
OGG VIDEO
BACK

29.6M

Constant Multiple Rule
23.4M

Product Rule
15.2M

Quotient Rule
26.7M

Chain Rule
34.0M

Implicit Differentiation
37.2M

Arccos
33.6M

Rules of Logs
30.0M

Quadratic Approximation
44.0M

Sketching a curve
34.6M

Minimum Triangle Area
30.5M

Maximum Surface Area
31.4M

Related rates 1
70.2M

Related rates 2
26.3M

Using Newton's Method
21.1M

Mean Value Theorem
12.5M

Mean value theorem
15.2M

Computing Differentials
11.3M

Differential Equation
26.8M

Riemann sum
30.8M

Average Velocity
46.2M

Trig Integral Practice
68.4M

Hyperbolic Trig Sub
29.4M

Arc Length of y=x^(2/3)
87.8M

Surface Area of a Torus
36.9M

Parametric Arclength
29.7M

Polar to Cartesian
51.2M

Integration Practice I
53.7M

Integration Practice II
46.8M

Integration Practice III
76.5M

Integration Practice IV
45.0M

l'Hospital Practice
48.4M

Indeterminate forms
64.5M

Improper Integrals
41.1M

Integral of x^n e^(-x)
18.7M

Limit of a Series
62.7M

Comparison Tests
29.4M

Integral Test
41.3M

Power Series Practice
40.1M

Finding Taylor's Series
In Collection

MIT OpenCourseWare